Inequalities of a Class of Analytic Functions Involving Multiplicative Derivative

Kadhavoor R. Karthikeyan (), Daniel Breaz (), Gangadharan Murugusundaramoorthy and Ganapathi Thirupathi
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Kadhavoor R. Karthikeyan: Department of Applied Mathematics and Science, College of Engineering, National University of Science & Technology, CPO Seeb 111, Al Hail, Muscat P.O. Box 2322, Oman
Daniel Breaz: Department of Mathematics, “1 Decembrie 1918” University of Alba Iulia, 510009 Alba Iulia, Romania
Gangadharan Murugusundaramoorthy: Department of Mathematics, School of Advanced Sciences, Vellore Institute of Technology, Vellore 632014, Tamil Nadu, India
Ganapathi Thirupathi: Centre for Research and Post Graduate Studies in Mathematics, Ayya Nadar Janaki Ammal College, Srivilliputhur Main Road, Sivakasi 626124, Tamil Nadu, India

Mathematics, 2025, vol. 13, issue 10, 1-12

Abstract: Using the concepts of multiplicative calculus and subordination of analytic functions, we define a new class of starlike bi-univalent functions based on a symmetric operator, which involved the three parameter Mittag-Leffler function. Estimates for the initial coefficients and Fekete–Szegő inequalities of the defined function classes are determined. Moreover, special cases of the classes have been discussed and stated as corollaries, which have not been discussed previously.

Keywords: generalized Mittag-Leffler function; multiplicative calculus; bi-univalent function; starlike; subordination (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2025
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